Stochastic Calculus for Fractional Brownian Motion and Applications
Fractional Brownian motion (fBm) has been widely used to model a number of phenomena in diverse fields from biology to finance. This huge range of potential applications makes fBm an interesting object of study. fBm represents a natural one-parameter extension of classical Brownian motion therefore...
Κύριοι συγγραφείς: | , , , |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
London :
Springer London,
2008.
|
Σειρά: | Probability and Its Applications,
|
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Fractional Brownian motion
- Intrinsic properties of the fractional Brownian motion
- Stochastic calculus
- Wiener and divergence-type integrals for fractional Brownian motion
- Fractional Wick Itô Skorohod (fWIS) integrals for fBm of Hurst index H >1/2
- WickItô Skorohod (WIS) integrals for fractional Brownian motion
- Pathwise integrals for fractional Brownian motion
- A useful summary
- Applications of stochastic calculus
- Fractional Brownian motion in finance
- Stochastic partial differential equations driven by fractional Brownian fields
- Stochastic optimal control and applications
- Local time for fractional Brownian motion.